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Finding the Fourth Proportional to 8,643.24, 12,967.38 and 3,449.88

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Solution

The fourth proportional to 8,643.24, 12,967.38 and 3,449.88 is: 5,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.24 : 12,967.38 = 3,449.88 : x
  2. Step 2: Convert to fraction form
    8,643.24/12,967.38 = 3,449.88/x
  3. Step 3: Cross multiply
    8,643.24x = 12,967.38 × 3,449.88
  4. Step 4: Simplify right side
    8,643.24x = 44,735,904.91
  5. Step 5: Solve for x
    x = 44,735,904.91/8,643.24
  6. Step 6: Final answer
    x = 5,175.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.